Theorems · Definition · group theory
Rep.coinvariantsFunctor
(k : Type u) →
(G : Type v) → [inst : CommRing k] → [inst_1 : Monoid G] → CategoryTheory.Functor (Rep.{w, u, v} k G) (ModuleCat k)The functor sending a representation to its coinvariants.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- ModuleCat.ofproof · cited by 594
- Rep.ρproof · cited by 356
- ModuleCat.ofHomproof · cited by 200
- Rep.Hom.homproof · cited by 190
- Representation.Coinvariantsproof · cited by 48
- Representation.Coinvariants.mapproof · cited by 11
Cited by41
Results whose statement or proof uses this declaration.
- Rep.coinvariantsMkstatement · cited by 26
- Rep.coinvariantsTensorproof · cited by 13
- groupHomology.H0Isostatement · cited by 12
- groupHomology.opcyclesIso₀statement · cited by 7
- Rep.coinvariantsMk_app_homstatement · cited by 5
- groupHomology.π_comp_H0Iso_homstatement · cited by 4
- Rep.coinvariantsAdjunctionstatement · cited by 4
- groupHomology.pOpcycles_comp_opcyclesIso_homstatement · cited by 4
- groupHomology.H0π_comp_H0Iso_homstatement · cited by 3
- Rep.coinvariantsFunctor_hom_extstatement and proof · cited by 3
- Rep.quotientToCoinvariantsFunctorproof · cited by 3
- Rep.descstatement · cited by 3